ΔE 22.4, loose: different enough that you should pick on purpose. Arianrhod Blue is a little darker, more muted, cooler than Eidolon Purple Clear.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Arianrhod Blue is a little darker, more muted, cooler than Eidolon Purple Clear.
The same difference applies the other way round: Eidolon Purple Clear is a little lighter, more saturated, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Eidolon Purple Clear on the colour wheel See Arianrhod Blue on the colour wheel
All matches: Eidolon Purple Clear equivalents · Arianrhod Blue equivalents